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Finding the Fourth Proportional to 69,785.40, 96,304.30 and 37,954.53

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Solution

The fourth proportional to 69,785.40, 96,304.30 and 37,954.53 is: 52,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,785.40 : 96,304.30 = 37,954.53 : x
  2. Step 2: Convert to fraction form
    69,785.40/96,304.30 = 37,954.53/x
  3. Step 3: Cross multiply
    69,785.40x = 96,304.30 × 37,954.53
  4. Step 4: Simplify right side
    69,785.40x = 3,655,183,961.96
  5. Step 5: Solve for x
    x = 3,655,183,961.96/69,785.40
  6. Step 6: Final answer
    x = 52,377.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.